What is the Least Common Multiple of 28463 and 28473?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 28463 and 28473 is 810426999.
LCM(28463,28473) = 810426999
Least Common Multiple of 28463 and 28473 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28463 and 28473, than apply into the LCM equation.
GCF(28463,28473) = 1
LCM(28463,28473) = ( 28463 × 28473) / 1
LCM(28463,28473) = 810426999 / 1
LCM(28463,28473) = 810426999
Least Common Multiple (LCM) of 28463 and 28473 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28463 and 28473. First we will calculate the prime factors of 28463 and 28473.
Prime Factorization of 28463
Prime factors of 28463 are 28463. Prime factorization of 28463 in exponential form is:
28463 = 284631
Prime Factorization of 28473
Prime factors of 28473 are 3, 9491. Prime factorization of 28473 in exponential form is:
28473 = 31 × 94911
Now multiplying the highest exponent prime factors to calculate the LCM of 28463 and 28473.
LCM(28463,28473) = 284631 × 31 × 94911
LCM(28463,28473) = 810426999
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